# [1]张聪,佐藤忠信,吕令毅.基于地震动相位谱不确定性模型的单自由度体系响应[J].东南大学学报(自然科学版),2012,42(1):131-136.[doi:10.3969/j.issn.1001-0505.2012.01.025] 　Zhang Cong,Tadanobu Sato,Lü Lingyi.Response of SDOF system based on earthquake phase spectrum uncertainty model[J].Journal of Southeast University (Natural Science Edition),2012,42(1):131-136.[doi:10.3969/j.issn.1001-0505.2012.01.025] 点击复制 基于地震动相位谱不确定性模型的单自由度体系响应() 分享到： var jiathis_config = { data_track_clickback: true };

42

2012年第1期

131-136

2012-01-18

## 文章信息/Info

Title:
Response of SDOF system based on earthquake phase spectrum uncertainty model

(1东南大学土木工程学院,南京 210096)
(2东南大学城市工程科学国际研究中心,南京 210096)
Author(s):
(1 School of Civil Engineering,Southeast University, Nanjing 210096, China)
(2 International Institute for Urban Systems Engineering, Southeast University, Nanjing 210096, China)

Keywords:

TU312.1
DOI:
10.3969/j.issn.1001-0505.2012.01.025

Abstract:
A group delay time (GDT) model is presented to characterize and simulate phase spectrum of ground motion by using stochastic differential equation (SDE). Based on the GDT model, theoretical equations were founded to calculate mean and variance of displacement response of single degree of freedom (SDOF) system under earthquake loads. Statistical characteristics of system displacement response were clarified by using analysis both in time domain and in frequency domain. The results show that the phase spectrum model proposed can provide efficient simulations of real ground motions. For SDOF system, mean value of phase angle of displacement response is inversely proportional to mean value of GDT of excitation at each frequency, while variance of phase angle of displacement response is directly proportional to variance of GDT of excitation. The mean and variance of displacement response of SDOF system get large when variances of phase angle of exciting harmonic waves become small. And so does the peak displacement response.

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